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Finding the Third Proportional to 30,150 and 65,322

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Solution

The third proportional to 30,150 and 65,322 is: 141,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,150 : 65,322 = 65,322 : x
  2. Step 2: Convert to fraction form
    30,150/65,322 = 65,322/x
  3. Step 3: Cross multiply
    30,150x = 65,322 × 65,322
  4. Step 4: Simplify right side
    30,150x = 4,266,963,684
  5. Step 5: Solve for x
    x = 4,266,963,684/30,150
  6. Step 6: Final answer
    x = 141,524.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.